The role of different linear and non-linear channels of relaxation in scintillator non-proportionality

The non-proportional dependence of a scintillator's light yield on primary particle energy is believed to be influenced crucially by the interplay of non-linear kinetic terms in the radiative and non-radiative decay of excitations versus locally deposited excitation density. A calculation of energy deposition, -dE/dx, along the electron track for Nal is Presented for an energy range from several election-volt to 1 MeV. Such results can be used to specify an initial excitation distribution, if diffusion is neglected. All exactly solvable two-channel (exciton and hole(electron)) model containing 1st and 2nd order kinetic terms is constructed and used to illustrate important features seen in non-proportional light-yield curves, including a dependence on pulse shaping (detection gate width). (C) 2009 Elsevier B.V. All rights reserved.